Calculus For The Life Sciences
2nd Edition
ISBN: 9780321964038
Author: GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher: Pearson Addison Wesley,
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Chapter 10.1, Problem 45E
To determine
To find:
The required number of corn, soybeans and cottonseed for given condition.
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Students have asked these similar questions
- Suppose that you have the differential equation:
dy
= (y - 2) (y+3)
dx
a. What are the equilibrium solutions for the differential equation?
b. Where is the differential equation increasing or decreasing? Show how you know.
Showing them on the drawing is not enough.
c. Where are the changes in concavity for the differential equation? Show how you
know. Showing them on the drawing is not enough.
d. Consider the slope field for the differential equation. Draw solution curves given the
following initial conditions:
i. y(0) = -5
ii. y(0) = -1
iii. y(0) = 2
5. Suppose that a mass of 5 stretches a spring 10. The mass is acted on by an external force
of F(t)=10 sin () and moves in a medium that gives a damping coefficient of ½. If the mass
is set in motion with an initial velocity of 3 and is stretched initially to a length of 5. (I
purposefully removed the units- don't worry about them. Assume no conversions are
needed.)
a) Find the equation for the displacement of the spring mass at time t.
b) Write the equation for the displacement of the spring mass in phase-mode form.
c) Characterize the damping of the spring mass system as overdamped, underdamped or
critically damped. Explain how you know.
D.E. for Spring Mass Systems
k
m* g = kLo
y" +—y' + — —±y = —±F(t), y(0) = yo, y'(0) = vo
m
2
A₁ = √c₁² + C₂²
Q = tan-1
4. Given the following information determine the appropriate trial solution to find yp. Do not
solve the differential equation. Do not find the constants.
a) (D-4)2(D+ 2)y = 4e-2x
b) (D+ 1)(D² + 10D +34)y = 2e-5x cos 3x
Chapter 10 Solutions
Calculus For The Life Sciences
Ch. 10.1 - YOUR TURN Use the Gauss-Jordan method to solve the...Ch. 10.1 - Prob. 2YTCh. 10.1 - Prob. 3YTCh. 10.1 - Write the augmented matrix for each system. Do not...Ch. 10.1 - Write the augmented matrix for each system. Do not...Ch. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Write the system of equations associated with each...Ch. 10.1 - Write the system of equations associated with each...Ch. 10.1 - Prob. 7E
Ch. 10.1 - Prob. 8ECh. 10.1 - _ on a matrix correspond to transformations of a...Ch. 10.1 - Describe in your own words what 2R1+R3R3 means.Ch. 10.1 - Prob. 11ECh. 10.1 - Prob. 12ECh. 10.1 - Prob. 13ECh. 10.1 - Prob. 14ECh. 10.1 - Prob. 15ECh. 10.1 - Prob. 16ECh. 10.1 - Use the Gauss-Jordan method to solve each system...Ch. 10.1 - Prob. 18ECh. 10.1 - Use the Gauss-Jordan method to solve each system...Ch. 10.1 - Prob. 20ECh. 10.1 - Use the Gauss-Jordan method to solve each system...Ch. 10.1 - Prob. 22ECh. 10.1 - Use the Gauss-Jordan method to solve each system...Ch. 10.1 - Prob. 24ECh. 10.1 - Use the Gauss-Jordan method to solve each system...Ch. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - Use the Gauss-Jordan method to solve each system...Ch. 10.1 - Prob. 29ECh. 10.1 - Prob. 30ECh. 10.1 - Prob. 31ECh. 10.1 - Prob. 32ECh. 10.1 - Prob. 33ECh. 10.1 - Prob. 34ECh. 10.1 - Prob. 35ECh. 10.1 - Prob. 36ECh. 10.1 - Prob. 37ECh. 10.1 - Prob. 38ECh. 10.1 - Prob. 39ECh. 10.1 - Prob. 40ECh. 10.1 - Prob. 41ECh. 10.1 - Prob. 42ECh. 10.1 - On National Public Radio, the "Weekend Edition"...Ch. 10.1 - Prob. 44ECh. 10.1 - Prob. 45ECh. 10.1 - Prob. 46ECh. 10.1 - Prob. 47ECh. 10.1 - Mixing Plant Foods Natural brand plant food is...Ch. 10.1 - 10.1 Exercises Surveys The president of Sams...Ch. 10.1 - Prob. 56ECh. 10.1 - Prob. 61ECh. 10.1 - Prob. 62ECh. 10.1 - Prob. 63ECh. 10.1 - Prob. 64ECh. 10.1 - Prob. 68ECh. 10.2 - YOUR TURN Find each sum, if possible. a...Ch. 10.2 - Prob. 2YTCh. 10.2 - Decide whether each statement is true or false. If...Ch. 10.2 - Decide whether each statement is true or false. If...Ch. 10.2 - Decide whether each statement is true or false. If...Ch. 10.2 - Decide whether each statement is true or false. If...Ch. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - EXERCISES Find the size of each matrix. Identify...Ch. 10.2 - Prob. 8ECh. 10.2 - Prob. 9ECh. 10.2 - Prob. 10ECh. 10.2 - Find the size of each matrix. Identify any square,...Ch. 10.2 - Prob. 12ECh. 10.2 - Prob. 13ECh. 10.2 - Prob. 14ECh. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - Prob. 17ECh. 10.2 - Prob. 18ECh. 10.2 - Prob. 19ECh. 10.2 - Prob. 20ECh. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.2 - Prob. 23ECh. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Perform the indicated operations, where possible....Ch. 10.2 - Prob. 28ECh. 10.2 - Perform the indicated operations, where possible....Ch. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 - For matrices X=[xyzw] and 0=[0000], find the...Ch. 10.2 - Prob. 34ECh. 10.2 - Prob. 35ECh. 10.2 - Prob. 36ECh. 10.2 - Prob. 37ECh. 10.2 - Prob. 39ECh. 10.2 - Prob. 40ECh. 10.2 - Prob. 42ECh. 10.2 - Prob. 43ECh. 10.2 - OTHER APPLICATIONS Car Accidents The tables in the...Ch. 10.2 - Prob. 48ECh. 10.2 - Prob. 49ECh. 10.3 - YOUR TURN Calculate the product AB where A=[3412]...Ch. 10.3 - Prob. 2YTCh. 10.3 - Let A=[-2403]and B=[-6240]. Find each value. 2ACh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 - Prob. 9ECh. 10.3 - Prob. 10ECh. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - To find the product matrix AB. the number of...Ch. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - Prob. 17ECh. 10.3 - Prob. 18ECh. 10.3 - Prob. 19ECh. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - Prob. 22ECh. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - Prob. 25ECh. 10.3 - Prob. 26ECh. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - EXERCISES Find each matrix product, if possible....Ch. 10.3 - EXERCISES Find each matrix product, if possible....Ch. 10.3 - EXERCISES Let A=[2413] and B=[2136] a. Find AB. b....Ch. 10.3 - Given matrices P=[mnpq], X=[xyzw], and T=[rstu],...Ch. 10.3 - Prob. 34ECh. 10.3 - Prob. 35ECh. 10.3 - Prob. 36ECh. 10.3 - Show that the system of linear equations...Ch. 10.3 - Let A=[1235], X=[x1x2] and B=[412], Show that the...Ch. 10.3 - Use a computer or graphing calculator and the...Ch. 10.3 - Prob. 40ECh. 10.3 - Prob. 41ECh. 10.3 - Prob. 42ECh. 10.3 - LIFE SCIENCE APPLICATIONS Dietetics In Exercise 39...Ch. 10.3 - Prob. 44ECh. 10.3 - Prob. 45ECh. 10.3 - Prob. 46ECh. 10.3 - Prob. 48ECh. 10.3 - Prob. 49ECh. 10.3 - Prob. 50ECh. 10.3 - Prob. 51ECh. 10.3 - Shoe Sales SalsShoes and Freds Footwear both have...Ch. 10.4 - YOUR TURN Use the inverse of the coefficient...Ch. 10.4 - EXERCISES Decide whether the given matrices are...Ch. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10.4 - Prob. 7ECh. 10.4 - Prob. 8ECh. 10.4 - Prob. 9ECh. 10.4 - Prob. 11ECh. 10.4 - Prob. 12ECh. 10.4 - Prob. 13ECh. 10.4 - Find the inverse, if it exists, for each matrix....Ch. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - Find the inverse, if it exists, for each matrix....Ch. 10.4 - Prob. 18ECh. 10.4 - Prob. 19ECh. 10.4 - Prob. 20ECh. 10.4 - Prob. 21ECh. 10.4 - Prob. 22ECh. 10.4 - Prob. 23ECh. 10.4 - Prob. 24ECh. 10.4 - Prob. 25ECh. 10.4 - Prob. 26ECh. 10.4 - Solve each system of equations by using the...Ch. 10.4 - Prob. 28ECh. 10.4 - Prob. 29ECh. 10.4 - Solve each system of equations by using the...Ch. 10.4 - Solve each system of equations by using the...Ch. 10.4 - Prob. 32ECh. 10.4 - Prob. 35ECh. 10.4 - Prob. 36ECh. 10.4 - Prob. 37ECh. 10.4 - Prob. 38ECh. 10.4 - Prob. 39ECh. 10.4 - Prob. 40ECh. 10.4 - Prob. 41ECh. 10.4 - Prob. 42ECh. 10.4 - Let A=[abcd]and 0=[0000]in Exercises 43-48. Show...Ch. 10.4 - Let A=[abcd]and 0=[0000]in Exercises 43-48. Show...Ch. 10.4 - Prob. 45ECh. 10.4 - Prob. 46ECh. 10.4 - Prob. 47ECh. 10.4 - Prob. 48ECh. 10.4 - Prob. 49ECh. 10.4 - Prob. 50ECh. 10.4 - Prob. 59ECh. 10.4 - Prob. 60ECh. 10.4 - Prob. 61ECh. 10.4 - Prob. 62ECh. 10.4 - Prob. 63ECh. 10.4 - Prob. 64ECh. 10.4 - Prob. 65ECh. 10.4 - Prob. 66ECh. 10.4 - Prob. 67ECh. 10.5 - Find the determinant of the following matrices....Ch. 10.5 - Find the determinant of the following matrices....Ch. 10.5 - Prob. 3ECh. 10.5 - Prob. 4ECh. 10.5 - For Exercises 512, find the eigenvalues and their...Ch. 10.5 - Prob. 6ECh. 10.5 - For Exercises 512, find the eigenvalues and their...Ch. 10.5 - Prob. 8ECh. 10.5 - For Exercises 512, find the eigenvalues and their...Ch. 10.5 - For Exercises 512, find the eigenvalues and their...Ch. 10.5 - Prob. 11ECh. 10.5 - Prob. 12ECh. 10.5 - Prob. 13ECh. 10.5 - In exercise 14 and 15, each 22matrix has only one...Ch. 10.5 - Prob. 15ECh. 10.5 - Prob. 16ECh. 10.5 - In Exercises 16 and 17, each matrix has complex...Ch. 10.5 - Prob. 18ECh. 10.5 - Leslie Matrices For each of the following Leslie...Ch. 10.5 - Leslie Matrices For each of the following Leslie...Ch. 10.5 - Leslie Matrices For each of the following Leslie...Ch. 10.5 - Leslie Matrices For each of the following Leslie...Ch. 10.5 - Prob. 23ECh. 10.5 - Prob. 26ECh. 10.CR - Prob. 1CRCh. 10.CR - Prob. 2CRCh. 10.CR - Prob. 3CRCh. 10.CR - Prob. 4CRCh. 10.CR - Prob. 5CRCh. 10.CR - Prob. 6CRCh. 10.CR - Prob. 7CRCh. 10.CR - Prob. 8CRCh. 10.CR - Prob. 9CRCh. 10.CR - Prob. 10CRCh. 10.CR - Prob. 11CRCh. 10.CR - Prob. 12CRCh. 10.CR - Prob. 13CRCh. 10.CR - Prob. 14CRCh. 10.CR - Prob. 15CRCh. 10.CR - Prob. 16CRCh. 10.CR - Prob. 17CRCh. 10.CR - Prob. 18CRCh. 10.CR - Prob. 19CRCh. 10.CR - Prob. 20CRCh. 10.CR - Prob. 21CRCh. 10.CR - Prob. 22CRCh. 10.CR - Prob. 23CRCh. 10.CR - Prob. 24CRCh. 10.CR - Prob. 25CRCh. 10.CR - Prob. 26CRCh. 10.CR - Prob. 27CRCh. 10.CR - Prob. 28CRCh. 10.CR - Prob. 29CRCh. 10.CR - Prob. 30CRCh. 10.CR - Prob. 31CRCh. 10.CR - Prob. 32CRCh. 10.CR - Prob. 33CRCh. 10.CR - Prob. 34CRCh. 10.CR - Prob. 35CRCh. 10.CR - Prob. 36CRCh. 10.CR - Prob. 37CRCh. 10.CR - Prob. 38CRCh. 10.CR - Prob. 39CRCh. 10.CR - Prob. 40CRCh. 10.CR - Prob. 41CRCh. 10.CR - Prob. 42CRCh. 10.CR - Prob. 43CRCh. 10.CR - Prob. 44CRCh. 10.CR - Prob. 45CRCh. 10.CR - Prob. 46CRCh. 10.CR - Prob. 47CRCh. 10.CR - Prob. 48CRCh. 10.CR - Prob. 49CRCh. 10.CR - Prob. 50CRCh. 10.CR - Prob. 51CRCh. 10.CR - Prob. 52CRCh. 10.CR - Prob. 53CRCh. 10.CR - Prob. 54CRCh. 10.CR - Prob. 55CRCh. 10.CR - Prob. 56CRCh. 10.CR - Prob. 57CRCh. 10.CR - Prob. 58CRCh. 10.CR - Prob. 59CRCh. 10.CR - Prob. 60CRCh. 10.CR - Prob. 61CRCh. 10.CR - Prob. 62CRCh. 10.CR - Prob. 63CRCh. 10.CR - Prob. 70CRCh. 10.CR - Prob. 71CRCh. 10.CR - Prob. 78CRCh. 10.CR - Prob. 79CRCh. 10.CR - Baseball In the 2009 Major league Baseball season,...Ch. 10.CR - Prob. 81CRCh. 10.EA - Find the second-order contact matrix PQ mentioned...Ch. 10.EA - Prob. 2EACh. 10.EA - Prob. 3EACh. 10.EA - Prob. 4EA
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